1
GATE CE 2022 Set 1
Numerical
+2
-0

Consider the differential equation

$${{dy} \over {dx}} = 4(x + 2) - y$$

For the initial condition y = 3 at x = 1, the value of y at x = 1.4 obtained using Euler's method with a step-size of 0.2 is ________. (round off to one decimal place)

Your input ____
2
GATE CE 2022 Set 1
Numerical
+1
-0.33

A set of observations of independent variable (x) and the corresponding dependent variable (y) is given below.

x 5 2 4 3
y 16 10 13 12

Based on the data, the coefficient a of the linear regression model

y = a + bx

is estimated as 6.1. The coefficient b is _________. (round off to one decimal place)

Your input ____
3
GATE CE 2022 Set 1
MCQ (More than One Correct Answer)
+1
-0.33

A horizontal force of P kN is applied to a homogeneous body of weight 25 kN, as shown in the figure. The coefficient of friction between the body and the floor is 0.3. Which of the following statements is/are correct?

GATE CE 2022 Set 1 Engineering Mechanics - Equilibrium of Force Systems Question 4 English

A
The motion of the body will occur by overturning.
B
Sliding of the body never occurs.
C
No motion occurs for P $$\le$$ 6 kN.
D
The motion of the body will occur by sliding only.
4
GATE CE 2022 Set 1
MCQ (Single Correct Answer)
+1
-0.33

The total hardness in raw water is 500 milligram per liter as CaCO3. The total hardness of this raw water, expressed in milligram equivalent per liter, is (Consider the atomic weights of Ca, C, and O as 40 g/mol, 12 g/mol, and 16 g/mol, respectively.)

A
10
B
100
C
1
D
5
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